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Finding the Third Proportional to 21,024 and 45,369

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Solution

The third proportional to 21,024 and 45,369 is: 97,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024 : 45,369 = 45,369 : x
  2. Step 2: Convert to fraction form
    21,024/45,369 = 45,369/x
  3. Step 3: Cross multiply
    21,024x = 45,369 × 45,369
  4. Step 4: Simplify right side
    21,024x = 2,058,346,161
  5. Step 5: Solve for x
    x = 2,058,346,161/21,024
  6. Step 6: Final answer
    x = 97,904.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.